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Finding the Fourth Proportional to 854.16, 1,281.46 and 507.80

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Solution

The fourth proportional to 854.16, 1,281.46 and 507.80 is: 761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.16 : 1,281.46 = 507.80 : x
  2. Step 2: Convert to fraction form
    854.16/1,281.46 = 507.80/x
  3. Step 3: Cross multiply
    854.16x = 1,281.46 × 507.80
  4. Step 4: Simplify right side
    854.16x = 650,725.39
  5. Step 5: Solve for x
    x = 650,725.39/854.16
  6. Step 6: Final answer
    x = 761.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.